18 8 Therese is studying some data collected at the Large Hadron Collider (LHC), a particle collider located in France and Switzerland. The data contains light‑intensity measurements from two different sensors (left and right), measured immediately after a collision of protons. When enough light strikes the sensor, a measurement can be made of its intensity. Therese wants to investigate the relationship between the two measurements. She takes a random sample of 15 collisions and produces the following summary statistics using a spreadsheet program. Pearson: r = 0.8000 Regression: y = 1.8392 + 1.0771x The data for this sample is given in Figure 4. Collision Left sensor measurement (x) Right sensor measurement (y) Residual (to 2 d.p.) A 3.59 3.58 B 0 0.88 –0.96 C 10.28 12.32 –0.59 D 1.97 2.68 –1.28 E 3.04 5.81 0.70 F 2.45 5.11 0.63 G 0 9.81 7.97 H 7.38 4.03 –5.76 I 4.83 5.65 –1.39 J 1.25 4.47 1.28 K 14.19 21.81 4.69 L 1.42 3.53 0.16 M 0 4.51 2.67 N 1.29 0 –3.23 O 0.86 0 –2.77 [Data source: DOI:10.7483/OPENDATA.OPERA.XF0L.CYE0] Figure 4 (a) For each of the sensor measurements, write down the modal value. (1) _____________________________________________________________________________________ _____________________________________________________________________________________
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